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270 lines
10 KiB
Plaintext
270 lines
10 KiB
Plaintext
TERM,MEANING
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AC,"Axiom of Choice, or set of absolutely continuous functions"
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a.c.,absolutely continuous
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acrd,inverse chord function
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ad,adjoint representation (or adjoint action) of a Lie group
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adj,adjugate of a matrix
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a.e.,almost everywhere
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Ai,Airy function
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AL,Action limit
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Alt,alternating group (Alt(n) is also written as An)
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A.M.,arithmetic mean
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arccos,inverse cosine function
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arccosec,inverse cosecant function (also written as arccsc)
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arccot,inverse cotangent function
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arccsc,inverse cosecant function (also written as arccosec)
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arcexc,"inverse excosecant function (also written as arcexcsc, arcexcosec)"
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arcexcosec,"inverse excosecant function (also written as arcexcsc, arcexc)"
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arcexcsc,"inverse excosecant function (also written as arcexcosec, arcexc)"
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arcexs,inverse exsecant function (also written as arcexsec)
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arcexsec,inverse exsecant function (also written as arcexs)
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arcosech,inverse hyperbolic cosecant function (also written as arcsch)
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arcosh,inverse hyperbolic cosine function
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arcoth,inverse hyperbolic cotangent function
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arcsch,inverse hyperbolic cosecant function (also written as arcosech)
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arcsec,inverse secant function
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arcsin,inverse sine function
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arctan,inverse tangent function
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arctan2,inverse tangent function with two arguments (also written as atan2)
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arg,argument of
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arg max,argument of the maximum
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arg min,argument of the minimum
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arsech,inverse hyperbolic secant function
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arsinh,inverse hyperbolic sine function
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artanh,inverse hyperbolic tangent function
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a.s.,almost surely
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atan2,inverse tangent function with two arguments (also written as arctan2)
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A.P.,arithmetic progression
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Aut,automorphism group
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bd,boundary (also written as fr or ∂)
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Bi,Airy function of the second kind
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BIDMAS,"Brackets, Indices, Divide, Multiply, Add, Subtract"
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Bias,bias of an estimator
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BWOC,by way of contradiction
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Card,"cardinality of a set (Card(X) is also written #X, ♯X or |X|)"
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cas,cos + sin function
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cdf,cumulative distribution function
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c.f.,cumulative frequency
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c.c.,complex conjugate
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char,characteristic of a ring
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Chi,hyperbolic cosine integral function
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Ci,cosine integral function
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cis,cos + i sin function (also written as expi)
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Cl,conjugacy class
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cl,topological closure
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CLT,central limit theorem
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cod,"codom,codomain"
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cok,"coker,cokernel"
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conv,convex hull of a set
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Cor,corollary
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corr,correlation
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cos,cosine function
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cosec,cosecant function (also written as csc)
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cosech,hyperbolic cosecant function (also written as csch)
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cosh,hyperbolic cosine function
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cosiv,"coversine function (also written as cover, covers, cvs)"
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cot,cotangent function (also written as ctg)
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coth,hyperbolic cotangent function
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cov,covariance of a pair of random variables
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cover,"coversine function (also written as covers, cvs, cosiv)"
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covercos,covercosine function (also written as cvc)
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covers,"coversine function (also written as cover, cvs, cosiv)"
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crd,chord function
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csc,cosecant function (also written as cosec)
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csch,hyperbolic cosecant function (also written as cosech)
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ctg,cotangent function (also written as cot)
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curl,curl of a vector field (also written as rot)
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cvc,covercosine function (also written as covercos)
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cvs,"coversine function (also written as cover, covers, cosiv)"
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def,define or definition.
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deg,"degree of a polynomial, or other recursively-defined objects such as well-formed formulas (also written as ∂)"
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del,"del, a differential operator (also written as {\displaystyle \nabla }\nabla )"
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det,determinant of a matrix or linear transformation
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dim,dimension of a vector space
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div,divergence of a vector field
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DNE,"a solution for an expression does not exist, or is undefined. Generally used with limits and integrals"
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dom,"domain of a function (Or, more generally, a relation)"
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End,categories of endomorphisms
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Ei,exponential integral function
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epi,epigraph of a function
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Eqn,equation
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erf,error function
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erfc,complementary error function
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etr,exponent of the trace
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exc,"excosecant function (also written as excsc, excosec)"
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excosec,"excosecant function (also written as excsc, exc)"
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excsc,"excosecant function (also written as excosec, exc)"
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exs,exsecant function (also written as exsec)
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exsec,exsecant function (also written as exs)
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exp,exponential function (exp x is also written as ex)
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expi,cos + i sin function (also written as cis)
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expm1,exponential minus 1 function (also written as exp1m)
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exp1m,exponential minus 1 function (also written as expm1)
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Ext,Ext functor.
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ext,exterior.
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extr,a set of extreme points of a set.
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FIP,finite intersection property.
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FOC,first order condition.
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FOL,first-order logic.
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fr,boundary (also written as bd or ∂)
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Frob,Frobenius endomorphism.
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Gal,Galois group (also written as Γ)
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gcd,greatest common divisor of two numbers (also written as hcf)
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gd,Gudermannian function
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GF,Galois field
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GF,generating function
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GL,general linear group
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GM,geometric mean
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glb,greatest lower bound (also written as inf)
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GP,geometric progression
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grad,gradient of a function
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hacover,"hacoversine function (also written as hacovers, hcv)"
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hacovercos,hacovercosine function (also written as hcc)
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hacovers,"hacoversine function (also written as hacover, hcv)"
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hav,haversine function (also written as sem)
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havercos,havercosine function (also written as hvc)
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hcc,hacovercosine function (also written as hacovercos)
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hcv,"hacoversine function (also written as hacover, hacovers)"
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hcf,highest common factor of two numbers (also written as gcd)
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H.M.,harmonic mean
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HOL,higher-order logic
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Hom,Hom functor
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hom,hom-class
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hot,higher order term
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HOTPO,half or triple plus one
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hvc,havercosine function (also written as havercos)
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hyp,hypograph of a function
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iff,if and only if
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IH,induction hypothesis
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iid,independent and identically distributed random variables
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Im,imaginary part of a complex number (also written as {\displaystyle \Im }\Im )
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im,image
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inf,infimum of a set (also written as glb)
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int,interior
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I.o.,Infinitely often
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ker,kernel
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lb,binary logarithm (log2) (also written as ld)
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lcm,lowest common multiple (a.k.a. least common multiple) of two numbers
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LCHS,locally compact Hausdorff second countable
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ld,binary logarithm (log2) (also written as lb)
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lerp,linear interpolation
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lg,common logarithm (log10) or binary logarithm (log2)
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LHS,left-hand side of an equation
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Li,offset logarithmic integral function
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li,logarithmic integral function or linearly independent
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lim,"limit of a sequence, or of a function"
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lim inf,limit inferior
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lim sup,limit superior
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LLN,law of large numbers
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ln,"natural logarithm, loge"
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lnp1,natural logarithm plus 1 function
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ln1p,natural logarithm plus 1 function
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log,"logarithm (If without a subscript, this may mean either log10 or loge)"
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logh,"natural logarithm, loge"
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LST,language of set theory
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lub,least upper bound (also written sup)
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max,maximum of a set
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MGF,moment-generating function
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M.I.,mathematical induction
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min,minimum of a set
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mod,modulo
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Mp,metaplectic group
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mtanh,modified hyperbolic tangent function (also written as mth)
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mth,modified hyperbolic tangent function (also written as mtanh)
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mx,matrix
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NAND,not-and in logic
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No.,number
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NOR,not-or in logic
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NTS,need to show
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OBGF,ordinary bivariate generating function
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ob,object class
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ord,ordinal number of a well-ordered set
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pdf,probability density function
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pf,proof
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PGL,projective general linear group
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PI,the constant 3.14159265359
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Pin,pin group.
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pmf,probability mass function
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Pn,previous number
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Pr,probability of an event
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PSL,projective special linear group
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PSO,projective orthogonal group.
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PSU,projective special unitary group
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PU,projective unitary group
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QED,"Quod erat demonstrandum, a Latin phrase used at the end of a definitive proof"
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QEF,"quod erat faciendum, a Latin phrase sometimes used at the end of a geometrical construction"
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ran,range of a function
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rank,rank of a matrix (also written as rk)
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Re,real part of a complex number
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resp,respectively
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RHS,right-hand side of an equation
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rk,rank (also written as rank)
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RMS,"rms,root mean square"
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rng,non-unital ring
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rot,rotor of a vector field (also written as curl)
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RTP,required to prove
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RV,random variable (or as R.V)
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R,Real numbers
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SD,standard deviation
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SE,standard error
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sec,secant function
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sech,hyperbolic secant function
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seg,initial segment of
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sem,haversine function (also written as hav)
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SFIP,strong finite intersection property
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sgn,sign function
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Shi,hyperbolic sine integral function
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Si,sine integral function
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sin,sine function
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sinc,sinc function
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sinh,hyperbolic sine function
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siv,"versine function (also written as ver, vers)"
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SL,special linear group
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SO,special orthogonal group
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SOC,second order condition
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Soln,solution
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Sp,symplectic group
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Sp,"trace of a matrix, from the German 'spur' used for the trace"
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sp,"linear span of a set of vectors (also written as span or written with angle brackets)"
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Spec,spectrum of a ring
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Spin,spin group
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s.t.,such that or so that or subject to
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st,standard part function
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STP,[it is] sufficient to prove
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SU,special unitary group
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sup,"supremum of a set (also written as lub, which stands for least upper bound)"
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supp,support of a function
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swish,"swish function, an activation function in data analysis"
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Sym,"symmetric group (Sym(n) is also written as Sn) or symmetric algebra"
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tan,"tangent function (also written as tgn, tg)"
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tanh,hyperbolic tangent function
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TAU,"the constant 6.283185307179586476925286766559"
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TFAE,the following are equivalent
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tg,"tangent function (also written as tan, tgn)"
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tgn,"tangent function (also written as tan, tg)"
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Thm,theorem
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Tor,Tor functor
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Tr,"trace, either the field trace, or the trace of a matrix or linear transformation"
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undef,a function or expression is undefined
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V,volume
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var,variance of a random variable
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vcs,vercosine function (also written as vercos)
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ver,"versine function (also written as vers, siv)"
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vercos,vercosine function (also written as vcs)
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vers,"versine function (also written as ver, siv)"
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W^5,"which was what we wanted. Synonym of Q.E.D"
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walog,without any loss of generality
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wff,well-formed formula
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whp,with high probability
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wlog,without loss of generality
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WMA,we may assume.
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WO,well-ordered set
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wp1,with probability 1
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wrt,with respect to or with regard to
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WTP,want to prove
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WTS,want to show
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XOR,exclusive or in logic
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XYZ,"Cartesian coordinate system (x,y,z)"
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ZF,Zermelo–Fraenkel axioms of set theory
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ZFC,Zermelo–Fraenkel axioms (with the Axiom of Choice) of set theory
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